Intrinsic basis function in the Dyson boson mapping

Journal Article · Sat Apr 01 04:00:00 EST 1989 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.39.1641· OSTI ID:6445216

Sheikh, J A

This Brief Report deals with the solution of the shell-model Hamiltonian in the boson representation. In the present approach, the fermion Hamiltonian is exactly mapped to the boson space using the Dyson boson mapping. The problem of mapping the basis states is resolved by employing the intrinsic boson basis. The method has been applied to a model Hamiltonian consisting of a monopole pairing and a deformation force. It is observed that only s and d bosons are dominant in the intrinsic wave function for the model case studied. This is synonymous to the interacting boson model approach.

• Research Organization: Science and Engineering Research Council Daresbury Laboratory, Daresbury, Warrington WA4 4AD, United Kingdom
• OSTI ID: 6445216
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Journal Issue: 4 Vol. 39:4; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANNIHILATION
BASIC INTERACTIONS
BOSON EXPANSION
BOSONS
DEFORMATION
DYSON REPRESENTATION
ELECTROMAGNETIC INTERACTIONS
FERMIONS
FUNCTIONS
HAMILTONIANS
INTERACTING BOSON MODEL
INTERACTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
MONOPOLES
NUCLEAR DEFORMATION
NUCLEAR MODELS
PARTICLE PRODUCTION
QUANTUM OPERATORS
SHELL MODELS
WAVE FUNCTIONS